How do I clean the the old 4x4 1950’s pink tile and regrout?

by Suzzann
my counter tops and backsplash are pink trimmed in maroon and are very used. The tile is still in good condition but the grout is gross!! I cannot afford to redo my cabinet counter top and backsplash at this time. I would like to refurbis! The previous owner did not respect the tile counter tops. I just need a little help in how I can do it myself to make it look better! (For now)

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